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Popular >

expand (6x-x^2)^2

Solution

expand

(6 x - x^{2})^{2}

Solution

36 x^{2} - 12 x^{3} + x^{4}

Solution steps

(6 x - x^{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(6 x - x^{2})^{2} = (6 x)^{2} - 2 \cdot 6 x x^{2} + (x^{2})^{2}

= (6 x)^{2} - 2 \cdot 6 x x^{2} + (x^{2})^{2}

Simplify

(6 x)^{2} - 2 \cdot 6 x x^{2} + (x^{2})^{2} : 36 x^{2} - 12 x^{3} + x^{4}

= 36 x^{2} - 12 x^{3} + x^{4}

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Frequently Asked Questions (FAQ)

What is expand (6x-x^2)^2 ?
The solution to expand (6x-x^2)^2 is 36x^2-12x^3+x^4